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Articles

Asymptotic representations of solutions of k-th order Emden–Fowler difference equation

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Pages 840-853 | Received 26 Dec 2014, Accepted 09 May 2015, Published online: 18 Aug 2015

References

  • V.M. Khar'kov, Asymptotic representations of one class of solutions of a second-order difference equation with power nonlinearity, Ukr. Math. J. 61 (2009), pp. 994–1012. doi:10.1007/s11253-009-0250-9.
  • V. Kharkov, Positive solutions of the Emden–Fowler difference equation, J Differ Equ Appl 19 (2013), pp. 234–260. doi:10.1080/10236198.2011.634805.
  • A.V. Kostin, Asymptotics of regular solutions of nonlinear differential equations, Differ Equ 23 (1987), pp. 524–526.
  • V.M. Evtukhov, On one class of monotonous solutions of the n-th order Emden–Fowler differential equation, Bull. Georgian Nat. Acad. Sci. 145 (1992), pp. 269–273.
  • I.T. Kiguradze, Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations, Springer, 1992. 331 p.
  • R.P. Agarwal, Difference Equations and Inequalities: Theory, Methods and Applications, Springer, 2000. 971 p.
  • S. Elaydi, An Introduction to Difference Equations, Springer, 2005. 546 p.
  • A. Drozdowicz, and J. Popenda, Asymptotic behavior of the solutions of the second order difference equation, Proc. Am. Math. Soc. 99 (1987), pp. 135–140. doi:10.1090/S0002-9939-1987-0866443-0.
  • W.F. Trench, Asymptotic behavior of solutions of Emden–Fowler difference equations with oscillating coefficients, J. Math. Anal. Appl. 179 (1993), pp. 135–153. doi:10.1006/jmaa.1993.1340.
  • J. Hooker, and W. Patula, A second-order nonlinear difference equation: Oscillation and asymptotic behavior, J. Math. Anal. Appl. 91 (1983), pp. 9–29. doi:10.1016/0022-247X(83)90088-4.
  • S.S. Cheng, H.J. Li, and W.T. Patula, Improvement of some ostrowski-grüss type inequalities, Comput. Math. Appl. 42 (2001), pp. 109–114. doi:10.1016/S0898-1221(01)00135-3.
  • Fuzhen Zhang, Matrix Theory: Basic Results and Techniques, Springer, 1999. 290 p.

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